QUESTION

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2. Explicitly compute the following commutators: $\left[L_{x}, X\right],\left[L_{x}, Y\right],\left[L_{x}, Z\right],\left[L_{x}, r^{2}\right]$, $\left[L_{x}, P_{x}\right],\left[L_{x}, P_{y}\right],\left[L_{x}, P_{z}\right],\left[L_{x}, \mathbf{P}^{2}\right]$. Here $r^{2}=X^{2}+Y^{2}+Z^{2}$.

Public Answer

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